331404361 has 2 divisors, whose sum is σ = 331404362. Its totient is φ = 331404360.

The previous prime is 331404349. The next prime is 331404371. The reversal of 331404361 is 163404133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 318408336 + 12996025 = 17844^2 + 3605^2 .

It is a cyclic number.

It is not a de Polignac number, because 331404361 - 2⁵ = 331404329 is a prime.

It is a super-3 number, since 3×331404361³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (331404371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165702180 + 165702181.

It is an arithmetic number, because the mean of its divisors is an integer number (165702181).

Almost surely, 2^331404361 is an apocalyptic number.

It is an amenable number.

331404361 is a deficient number, since it is larger than the sum of its proper divisors (1).

331404361 is an equidigital number, since it uses as much as digits as its factorization.

331404361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 331404361 is about 18204.5148520910. The cubic root of 331404361 is about 692.0212113571.

Adding to 331404361 its reverse (163404133), we get a palindrome (494808494).

The spelling of 331404361 in words is "three hundred thirty-one million, four hundred four thousand, three hundred sixty-one".